A thorough study of interrelationship in fuzzy implication axioms

Yun Shi, Bart Van Gasse, Da Ruan, Etienne Kerre, Özgür Kabak

    Research outputpeer-review


    A fuzzy implication is an extension of the classical binary implication in fuzzy logic that plays an important role in the approximate reasoning process and in decision making applications. It should satisfy different potential axioms, among which eight axioms are most important. Different authors have investigated the dependence and independence of the eight axioms but the investigation is yet not complete. We study a complete interrelationship of all the eight axioms, and give for each independence case a counter-example.
    Original languageEnglish
    Title of host publicationIntelligent Decision Making Systems
    Place of PublicationSingapore, Singapore
    StatePublished - Nov 2009
    EventThe 4th Int. ISKE Conference on Intelligent Decision Making Systems - Hasselt
    Duration: 27 Nov 200928 Nov 2009

    Publication series

    NameComputer Engineering and Information Science


    ConferenceThe 4th Int. ISKE Conference on Intelligent Decision Making Systems

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